Solve the inequality for x and identify the graph of its solution.

3x+2] < 6

Choose the answer that gives both the correct solution and the correct graph.

Answer:

To find the unit rate, we must find how many cranes Tammy made in one day.

12 (cranes)       4 cranes

_________ = ________, he makes 4 cranes per day.

   3 days             1 day

Tape diagram provided;

Answer:

c is the answer I'm sure

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = [tex]\frac{-3-2}{1-1}[/tex] = [tex]\frac{-5}{0}[/tex]

Since division by zero is undefined then the slope of the line is undefined

Answer:

The sum of the length of the two legs is equal to the length of the hypotenuse.

Let's complete the square

f(x) = x^2 + 6x + 8

y = x^2 + 6x + 8

y-8 = x^2 + 6x

y-8+9 = x^2+6x+9 .... see note below

y+1 = (x+3)^2

y = (x+3)^2-1

note: I added 9 to both sides due to taking half of the 6, and then squaring that result.

We'll restrict x such that [tex]x \ge -3[/tex] to ensure that this function is one-to-one.

Now we need to swap x and y, and solve for y to get the inverse

y = (x+3)^2 - 1

x = (y+3)^2 - 1

x+1 = (y+3)^2

(y+3)^2 = x+1

y+3 = sqrt(x+1)

y = sqrt(x+1)-3

g(x) = sqrt(x+1)-3     is the inverse

The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.

Answer: The slope is 3/2

Step-by-step explanation:

To find the slope, you need to find the difference between the y coordinates and  divide it by the difference in the x coordinates.

The y coordinates are  -4 and 5

The x coordinates are  -4 and 2

-4 -5 = - 9

-4 - 2 = -6

-9/-6 =  3/2

Answer:

165°

Step-by-step explanation:

First, we need to find the sum of all the interior angles in the 24-sided polygon.

The equation for that is: 180 (n-2)

[n represents the number of sides]

180 (24-2)

180 (22)

3960

Then to find the measure of a single interior angle, just divide 24 from 3960.

3960 ÷ 24 = 165

The equation that represents her savings is $450 = $120 + $30n.

The number of weeks that have passed since she opened her savings account is 11 weeks.

Total amount saved = amount initially deposited + (amount added weekly x number of weeks)

$450 = $120 + $30n

Where n = number of weeks

In order to determine the value of n, take the following steps:

Combine similar terms = $450 - $120 = 30n

$330 = 30n

Divide both sides by 30

n = 11 weeks

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Answer:

Recommendation: Try using the online graphing calculator Desmo and try to see if you can get your answer by entering the equations. desmo is free.

Answer:

96

Step-by-step explanation:

In the given problem, the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex] is [tex]\frac{4}{3}[/tex].

The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".

The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.

To find the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex],

[tex]\frac{4}{6}[/tex] +  [tex]\frac{4}{6}[/tex] = 2 [tex]\times \ \frac{4}{6}[/tex]

        = [tex]\frac{4}{3}[/tex].

So, [tex]\frac{4}{6}[/tex] +  [tex]\frac{4}{6}[/tex] = [tex]\frac{4}{3}[/tex].

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Answer:

to put a letter in the place of a number

Step-by-step explanation:

Answer:

Part E is the pic

Part F is the triangle

sorry if it is kinda blurry

Part 6:

You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.

How are the two methods similar?

They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.

How are they different?

Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.

Why might coordinate algebra be important in making and using geometry software?

A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

Answer:

9/10, 1 3/15, 1 6/10, 2 2/9

Step-by-step explanation:

Let's make all the numbers a fraction.

1 6/10, 1 3/15, 9/10, 2 2/9

Find the LCD of the fractions.

1 6/10 = 144/90

1 3/15 = 108/90

9/10 = 81/90

2 2/9 = 200/90

Order the fractions least to greatest.

9/10, 1 3/15, 1 6/10, 2 2/9

Answer:

I believe the value is equal to 8

Answer:

4,953.78 dollars. I think

simultaneous equations

1) The measure of ∠BOA is 60.16°.

2) the length of arc BAC is 14.68cm.

What is the formula for arc length?

Arc length = Central Angle(in radian) * Radius

So, length of arc AC = (45π/180) * 8

Arc AC = 2π

Arc AC = 6.28cm

So, length of arc BAC = arc AC+ arc AB

Arc BAC = 6.28 +8.4

Arc BAC = 14.68cm

∠BOA = length of Arc AB / Radius

∠BOA = 8.4/8 = 1.05 radian

∠BOA= 1.05 *(180/π)°

∠BOA=60.16°

Therefore, 1) The measure of ∠BOA is 60.16°.

2) the length of arc BAC is 14.68cm.

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Answer:

BOA= 60

BAC= 14.7

Step-by-step explanation:

i did it

Answer:

290mm

Step-by-step explanation:

Conversion. 2.9dm x (100mm/1dm)=290 mm

8 times does his frog have to jump to get to 15.

The starting number is 815.

the frog hops once (715)

2nd (615)

3rd  (515)

4th  (415)

5th  (315)

6th  (215)

7th (115) and

one last time (15) there are 8 numbers.

No. of Times = (815-15)/100 = 8 times.

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Answer: f^-1(x)= 2-4x/3

This is because the power of f is -1

Answer:

A. Answer: f^-1(x)= 2-4x/3

Step-by-step explanation:

This is because the power of f is -1, all you would do is solve the 4x-2 divided by 3 to get the answer pls give brainiest thank you.

Answer:

true

Step-by-step explanation:

true

Answer: True

Step-by-step explanation:

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

Given the following data:

Let's assume the boat would sink if it takes in more than 20 gallons of water.

Conversion:

Translating the word problem into an algebraic expression, we have;

[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]

Therefore, the slowest rate is equal to 4 gallons per minute.

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2 solutions (2 intersection points)

and the solutions

(4 ; 5) and (0 ; - 3)

Answer:

Your answer is x=3

Step-by-step explanation:

So  you have the equation 2x+5=11

First, subtract 5 from 5 and from 11.

Then you will cancel out the 5's.

After that, you should have "2x=6"

Now divide 2 from 2x and from 6.

Your answer is x=3

Answer:

35.5

Step-by-step explanation:

Hopefully this is what you mean

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!